| 电阻抗成像的加权Newton Raphson算法 |
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| 引用本文： | 杜岩.电阻抗成像的加权Newton Raphson算法[J].北京航空航天大学学报,1998,24(2):161-164. |
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| 作者姓名： | 杜岩 |
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| 作者单位： | 北京航空航天大学 电子工程系 |
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| 摘 要： | 利用一个适当的权矩阵对用于电阻抗成像图像重建的NewtonRaphson算法作了改进,提出了加权NewtonRaphson算法.该方法能克服普通NewtonRaphson方法重建图像时分辨率不均匀性,这种不均匀性来自反问题的病态以及注入电流,电极配置,各像素的几何位置等诸多数学物理因素.与普通NewtonRaphson算法相比,加权NewtonRaphson算法的计算量几乎没有增加,但其图像重建效果却有明显改善.文中还详细讨论了权矩阵的计算方法.
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| 关 键 词： | 图像处理 电阻抗 断层摄影术 牛顿型算法 非线性 加权 图像重建 |
| 收稿时间： | 1996-11-11 |
Weighted NewtonRaphson Algorithm for Electrical Impedance Tomography |
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| Du Yan,Liu Zhongkan,Cheng Jikuan.Weighted NewtonRaphson Algorithm for Electrical Impedance Tomography[J].Journal of Beijing University of Aeronautics and Astronautics,1998,24(2):161-164. |
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| Authors: | Du Yan Liu Zhongkan Cheng Jikuan |
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| Institution: | Beijing University of Aeronautics and Astronautics,Dept. of Electronic Engineering |
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| Abstract: | A proper weight matrix is used to improve the NewtonRaphson algorithm for the electrical impedance tomography image reconstruction,and a weighted NewtonRaphson algorithm is proposed.The new weighted algorithm can overcome the defect of baddistributed resolution for reconstructed image by using original NewtonRaphson method.This kind of defect is from illcondition of inverse problem and some mathemetical and physical factors such as injecteds current,electrodes disposition,geometrical position of pixel etc.Compared with the simple NewtonRaphson algorithm,the image reconstructed by the weighted one is much better while the computation amount is almost not increased.The algorithm for computation of the weight matrix is also discussed in detail. |
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| Keywords: | image processing electrical impedance tomography Newton type algorithm nonlinear weighted image reconstruction |
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